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Finding the Third Proportional to 8,641.69 and 16,486.03

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Solution

The third proportional to 8,641.69 and 16,486.03 is: 31,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.69 : 16,486.03 = 16,486.03 : x
  2. Step 2: Convert to fraction form
    8,641.69/16,486.03 = 16,486.03/x
  3. Step 3: Cross multiply
    8,641.69x = 16,486.03 × 16,486.03
  4. Step 4: Simplify right side
    8,641.69x = 271,789,226.38
  5. Step 5: Solve for x
    x = 271,789,226.38/8,641.69
  6. Step 6: Final answer
    x = 31,450.94

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.